Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 524: 30

Answer

x = 9

Work Step by Step

$\frac{5}{3}$-$\frac{3}{2x}$=$\frac{3}{2}$ 6x($\frac{5}{3}$-$\frac{3}{2x}$)=6x$\frac{3}{2}$ 6x$\frac{5}{3}$-6x$\frac{3}{2x}$=3x*3 2x*5-3*3=9x 10x-9=9x 10x-9x=9 x=9 The solution is 9 Check Let x=9 $\frac{5}{3}$-$\frac{3}{2x}$=$\frac{3}{2}$ $\frac{5}{3}$-$\frac{3}{2*9}$=$\frac{3}{2}$ $\frac{5}{3}$-$\frac{3}{18}$=$\frac{3}{2}$ $\frac{30}{18}$-$\frac{3}{18}$=$\frac{27}{18}$ $\frac{27}{18}$=$\frac{3}{2}$ $\frac{3}{2}$=$\frac{3}{2}$
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